A Direct Method of Moving Planes to Fractional Power SubLaplace Equations on the Heisenberg Group

• 作者: Xin-jing WANG Peng-cheng NIU
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 364-379
• 页数: 16页
• 语种: 英文

摘要

We give the direct method of moving planes for solutions to the conformally invariant fractional power subLaplace equation on the Heisenberg group.The method is based on four maximum principles derived here.Then symmetry and nonexistence of positive cylindrical solutions are proved.